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Not related to programming. Voted for migration to Server Fault.
–
rightfoldOct 22 '11 at 21:47

Is it exposed to the internet? Can the system run processes that start executables?

Typically virus scanning systems are something you want on all systems. Worms that can go from PC-to-PC over the network can still attack systems that are not normally exposed to the internet are one of the common justifications for this.

edit another important part is who as Remote Desktop access? These are poential risk points as well if they go out to the internet for anything. Granted you would hope they would know better, but it is still a potential concern